Sample mean price falls within nickel of overall mean price

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A recent report said that the overall mean price µ for a gallon of gas is $3.14. Assume that overall std dev. Of price is $0.21/gallon. Suppose a poll of 36 random gas stations is taken, and the sample mean price is computed from the prices at these gas stations. What is the probability that the sample mean price falls within a nickel of the State's overall mean price? i.e between 3.09 and 3.19.

Reference no: EM13136171

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